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Anomaly detection in real-world scenarios poses challenges due to dynamic and often unknown anomaly distributions, requiring robust methods that operate under an open-world assumption. This challenge is exacerbated in practical settings,…

Machine Learning · Computer Science 2024-04-24 Dayananda Herurkar , Sebastian Palacio , Ahmed Anwar , Joern Hees , Andreas Dengel

This paper proposes an adaptive penalized weighted mean regression for outlier detection of high-dimensional data. In comparison to existing approaches based on the mean shift model, the proposed estimators demonstrate robustness against…

Statistics Theory · Mathematics 2023-06-27 Jiaqi Li , Linglong Kong , Bei Jiang , Wei Tu

Outlier detection is a major topic in robust statistics due to the high practical significance of anomalous observations. Many existing methods are, however, either parametric or cease to perform well when the data is far from linearly…

Methodology · Statistics 2018-11-14 Matias Heikkilä

The recent, counter-intuitive discovery that deep generative models (DGMs) can frequently assign a higher likelihood to outliers has implications for both outlier detection applications as well as our overall understanding of generative…

Machine Learning · Statistics 2020-10-27 Ziyu Wang , Bin Dai , David Wipf , Jun Zhu

Outlying observations, which significantly deviate from other measurements, may distort the conclusions of data analysis. Therefore, identifying outliers is one of the important problems that should be solved to obtain reliable results.…

Computation · Statistics 2014-05-01 Soo-Heang Eo , Seung-Mo Hong , HyungJun Cho

There exist multiple methods to detect outliers in multivariate data in the literature, but most of them require to estimate the covariance matrix. The higher the dimension, the more complex the estimation of the matrix becoming impossible…

Methodology · Statistics 2020-12-01 P. Navarro-Esteban , J. A. Cuesta-Albertos

In order to allow machine learning algorithms to extract knowledge from raw data, these data must first be cleaned, transformed, and put into machine-appropriate form. These often very time-consuming phase is referred to as preprocessing.…

Machine Learning · Computer Science 2021-11-19 David Cemernek

Rare data in a large-scale database are called outliers that reveal significant information in the real world. The subspace-based outlier detection is regarded as a feasible approach in very high dimensional space. However, the outliers…

Artificial Intelligence · Computer Science 2014-05-06 Zhana Bao

Anomaly detection, a.k.a. outlier detection or novelty detection, has been a lasting yet active research area in various research communities for several decades. There are still some unique problem complexities and challenges that require…

Machine Learning · Computer Science 2020-12-08 Guansong Pang , Chunhua Shen , Longbing Cao , Anton van den Hengel

Many computer vision tasks involve processing large amounts of data contaminated by outliers, which need to be detected and rejected. While outlier detection methods based on robust statistics have existed for decades, only recently have…

Computer Vision and Pattern Recognition · Computer Science 2017-04-14 Chong You , Daniel P. Robinson , René Vidal

Event sequence data record the occurrences of events in continuous time. Event sequence forecasting based on temporal point processes (TPPs) has been extensively studied, but outlier or anomaly detection, especially without any supervision…

Machine Learning · Computer Science 2024-11-26 Somjit Nath , Yik Chau Lui , Siqi Liu

Epidemiologic and medical studies often rely on evaluators to obtain measurements of exposures or outcomes for study participants, and valid estimates of associations depends on the quality of data. Even though statistical methods have been…

Applications · Statistics 2022-11-03 Yujie Wu , Sharon Curhan , Bernard Rosner , Gary Curhan , Molin Wang

Whether an extreme observation is an outlier or not, depends strongly on the corresponding tail behaviour of the underlying distribution. We develop an automatic, data-driven method to identify extreme tail behaviour that deviates from the…

Methodology · Statistics 2019-12-06 Shrijita Bhattacharya , Jan Beirlant

We study the change detection problem with an unknown post-change distribution. Under this constraint, the unknown change in the distribution of observations may occur in many ways without much structure on the observations, whereas, before…

Signal Processing · Electrical Eng. & Systems 2020-12-11 Deniz Sargun , C. Emre Koksal

The outlying property detection problem is the problem of discovering the properties distinguishing a given object, known in advance to be an outlier in a database, from the other database objects. In this paper, we analyze the problem…

Machine Learning · Computer Science 2013-06-18 Fabrizio Angiulli , Fabio Fassetti , Luigi Palopoli , Giuseppe Manco

We propose two new outlier detection methods, for identifying and classifying different types of outliers in (big) functional data sets. The proposed methods are based on an existing method called Massive Unsupervised Outlier Detection…

Methodology · Statistics 2021-10-15 Oluwasegun Taiwo Ojo , Antonio Fernández Anta , Rosa E. Lillo , Carlo Sguera

By definition, outliers are rarely observed in reality, making them difficult to detect or analyse. Artificial outliers approximate such genuine outliers and can, for instance, help with the detection of genuine outliers or with…

Machine Learning · Computer Science 2021-05-07 Georg Steinbuss , Klemens Böhm

When applying a statistical method in practice it often occurs that some observations deviate from the usual assumptions. However, many classical methods are sensitive to outliers. The goal of robust statistics is to develop methods that…

Methodology · Statistics 2008-08-06 Mia Hubert , Peter J. Rousseeuw , Stefan Van Aelst

Anomaly detection is a longstanding and active research area that has many applications in domains such as finance, security, and manufacturing. However, the efficiency and performance of anomaly detection algorithms are challenged by the…

Machine Learning · Computer Science 2025-04-16 Yang Cao , Haolong Xiang , Hang Zhang , Ye Zhu , Kai Ming Ting

A novel method for sequential outlier detection in non-stationary time series is proposed. The method tests the null hypothesis of ``no outlier'' at each time point, addressing the multiple testing problem by bounding the error probability…

Statistics Theory · Mathematics 2025-02-26 Florian Heinrichs , Patrick Bastian , Holger Dette
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